Astronouth7303

#proc det matrix {def det(matrix):	#if {[llength $matrix] != [llength [lindex $matrix 0]]} {	if matrix.len()[0] != matrix.len()[1]:		#error "non-square matrix"		raise SizeError, "non-square matrix"	#}	#switch [llength $matrix] {	#   2 {	if matrix.len()[0] == 2:		#foreach {a b c d} [join $matrix] break		a,b,c,d = matrix[0,0], matrix[0,1], matrix[1,0], matrix[1,1]		#expr {$a*$d - $b*$c}		return a*d - b*c	#   } default {	else:		#set i 0		i = 0		#set mat2 [lrange $matrix 1 end]		mat2 = matrix[1:,...]		#set res 0		res = 0		#foreach element [lindex $matrix 0] {		for element in matrix[0]:			#if $element {			if element:				#set sign [expr {$i%2? -1: 1}]				if i%2: sign = -1				else: sign = 1				#set res [expr {$res + $sign*$element* [det [cancelcol $i $mat2]]}]				res += sign * element * det(cancelcol(i, mat2))			#}			#incr i			i += 1		#}		#set res		return res	#  }	#}#}#proc cancelcol {n matrix} {def cancelcol(n, matrix):	#set res {}	res = []	#foreach row $matrix {	for row in matrix.rows:		#lappend res [lreplace $row $n $n]		res += [row[:n] + row[n+1:]]	#}	#set res	return res#}if __name__ = '__main__':	from TIMatrix import TIMatrix as m	assert det(m( [[5,-3,2],[1,0,6],[3,1,-2]] )) == -88	assert det(m( [[1,0,0],[0,1,0],[0,0,1]] )) == 1	assert det(m( [[1,2],[3,4]] )) == -2	assert det(m( [[2,4],[1,3]] )) == 2	assert det(m( [[1,2,-1],[-2,1,3],[3,0,-2]] )) == 11	assert det(m( [[1,2,-1,0],[-2,1,3,1],[3,0,-2,2],[1,2,3,4]] )) == -20	assert det(m( [[1,1,1],[1,1,1],[1,1,1]] )) == -20